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Paper · arXiv

Couple to Control: Joint Initial Noise Design in Diffusion Models

Diffusion models typically generate image batches from independent Gaussian initial noises. We argue that this independence assumption is only one choice within a broader class of valid joint noise designs. Instead, one can specify a coupling of the initial noises: each noise remains marginally standard Gaussian, so the pretrained diffusion model receives the same single-sample input distribution, while the dependence across samples is chosen by design. This reframes initial-noise control from selecting or optimizing individual seeds to designing the dependence structure of a multi-sample gallery. This view gives a general framework for initial-noise design, covering several existing meth...

AuthorsJing Jia, Liyue Shen, Guanyang Wang
Primary categorycs.LG
Published11 May 2026
Last updated at source11 May 2026
cs.LGcs.CVstat.COstat.ML
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